\newproblem{lay:1_4_27}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 1.4.27}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Rewrite the (numerical) matrix equation below in symbolic form as a vector equation, using $\mathbf{v}_1$, $\mathbf{v}_2$, ... for the vectors
	and $c_1$, $c_2$, ... for scalars. Define what each symbol represents using the data given in the matrix equation.
	\begin{center}
		$\begin{pmatrix}-3 & 5 & -4 & 9 & 7\\ 5 & 8 & 1 & -2 &-4\end{pmatrix}\begin{pmatrix}-3\\1\\2\\-1\\2\end{pmatrix}=\begin{pmatrix}11\\-11\end{pmatrix}$
	\end{center}
}
{
  % Solution
	Let us define $\mathbf{v}_1$ as the first column of the matrix (i.e., $\mathbf{v}_1=\begin{pmatrix}-3\\5\end{pmatrix}$), $\mathbf{v}_2$ as the second column
	($\mathbf{v}_2=\begin{pmatrix}5\\8\end{pmatrix}$), ... Let us also define $c_1$ as the first coefficient in the vector in the left-hand side of the equation
	($c_1=-3$), $c_2$ as the second coefficient ($c_2=1$), ...
	\begin{center}
		$c_1\mathbf{v}_1+c_2\mathbf{v}_2+...+c_5\mathbf{v}_5=\begin{pmatrix}11\\-11\end{pmatrix}$
	\end{center}
}
\useproblem{lay:1_4_27}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
